Answer:
The amount of water in the cylinder in term of π is: 504 π.
Step-by-step explanation:
Volume of cylinder ([tex]V_{1}[/tex]) = π[tex]r^{2}h[/tex]
where, r= radius of cylinder
h= height of cylinder
so, [tex]V_{1}[/tex]= π× [tex]6^{2}[/tex]×15
= π×540
=540 π
Now, volume of ball ([tex]V_{2}[/tex]) =[tex]\frac{4}{3}[/tex] × π ×[tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] × π × [tex]3^{3}[/tex]
= 36π
Amount of water in the tank= [tex]V_{1}[/tex] - [tex]V_{2}[/tex]
=540 π- 36π
=504 π
